English

Almost Gorenstein determinantal rings of symmetric matrices

Commutative Algebra 2021-08-18 v1

Abstract

We provide a characterization of the almost Gorenstein property of determinantal rings of a symmetric matrix of indeterminates over an infinite field. We give an explicit formula for ranks of the last two modules in the resolution of determinantal rings using Schur functors.

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Cite

@article{arxiv.2108.07778,
  title  = {Almost Gorenstein determinantal rings of symmetric matrices},
  author = {Ela Celikbas and Naoki Endo and Jai Laxmi and Jerzy Weyman},
  journal= {arXiv preprint arXiv:2108.07778},
  year   = {2021}
}

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10 pages